Question

190 divides by 21 written as an expression in math notation? Thank you

Answer 1

As Improper Fraction : `color(green)(190/21)`

As Mixed Fraction : `color(blue)(9(1/21)`

As Recurring Decimal Fraction : `color(brown)(9.047619...)`

Explanation:

Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator.

When a fraction has a numerator that is greater than or equal to the denominator, the fraction is an improper fraction. An improper fraction is always 1 or greater than 1.

And, finally, a mixed number is a combination of a whole number and a proper fraction.

Given : 190 / 21

`= (19 * 5 * 2) / ( 3 * 7)`

There is no common factor for both the numbers.

Hence it can not be further reduced / simplified.

#Answer 190 / 21 represents the result in improper fraction form.

It can be converted into the mixed fraction form as under.

`= (189 + 1) / 21 = (cancel(189) 9)/cancel(21) + 1/21 = 9 + 1/21 = 9 (1/21)`

It can also be represented in decimal form as below :

`= 9 + 1/21 = 9.047619...`